The Experts below are selected from a list of 4980 Experts worldwide ranked by ideXlab platform

Krzysztof Kołowrocki - One of the best experts on this subject based on the ideXlab platform.

  • 1 – Basic Notions
    Reliability of Large and Complex Systems, 2014
    Co-Authors: Krzysztof Kołowrocki
    Abstract:

    Basic notions and agreements, which are necessary to further considerations, are introduced. The asymptotic approach to the system Reliability investigation and the system Limit Reliability Function is defined.

  • Large Systems Related Problems
    Reliability of Large and Complex Systems, 2014
    Co-Authors: Krzysztof Kołowrocki
    Abstract:

    Domains of attraction for Limit Reliability Functions of two-state systems are introduced. They are understood as the conditions that the Reliability Functions of the particular components of the system have to satisfy in order that the system Limit Reliability Function is one of the Limit Reliability Functions from the previously fixed class for this system. Exemplary theorems concerned with domains of attraction for Limit Reliability Functions of homogeneous series systems are presented and the application of one of them is illustrated. A practically important problem of accuracy of the asymptotic approach to large systems Reliability evaluation, concerned with the speed of convergence of system Reliability sequence, is discussed. This problem is illustrated by analysing the speed of convergence of the homogeneous series–parallel system Reliability sequences to its Limit Reliability Function. Series–‘m out of n’ systems and ‘m out of n’–series systems are defined and exemplary theorems on their Limit Reliability Functions are presented and applied to the Reliability evaluation of an illumination system and a rope elevator. Hierarchical series–parallel and parallel–series systems of any order are defined, their Reliability Functions are determined and Limit theorems on their Reliability Functions are applied to Reliability evaluation of exemplary hierarchical systems of order 2. Applications of the asymptotic approach in large series systems Reliability improvement are also presented.

  • Large Complex Systems
    Reliability of Large and Complex Systems, 2014
    Co-Authors: Krzysztof Kołowrocki
    Abstract:

    The combination of the results on the Reliability of complex multi-state systems related to their operation processes and the results concerning the Limit Reliability Functions of the multi-state systems is proposed, to obtain the results on the asymptotic approach to the evaluation of the large complex multi-state systems Reliability at the variable operation conditions. The asymptotic approach to the large complex system Reliability evaluation and the large complex system Limit Reliability Function is defined. Limit Reliability Functions of selected large complex systems composed of components having exponential Reliability Functions are fixed. The way to use these results is illustrated by their application to the evaluation of Reliability characteristics of the large multi-state non-homogeneous system composed of a series–parallel and a series–‘m out of k’ subsystems linked in series, the large multi-state homogenous ‘m out of l’–series system and the port grain transportation system composed of three large multi-state non-homogeneous series–parallel subsystems linked in series changing their Reliability structures and their components’ Reliability parameters at variable operation conditions.

  • Multi-State Systems
    Reliability of Large and Complex Systems, 2014
    Co-Authors: Krzysztof Kołowrocki
    Abstract:

    This chapter provides an introduction to the basic notions of multistate system Reliability analyses. The chapter defines multistate homogeneous and nonhomogeneous series—such as parallel, series-parallel, and parallel-series systems with degrading components—and determines their exact Reliability Functions. Further, the multistate Limit Reliability Function of a system, its risk Functions, and other characteristics of multistate system Reliability are also introduced and determined in the chapter.

  • Reliability, Availability and Cost Analysis of Large Multi-State Systems with Ageing Components
    Journal of Konbin, 2008
    Co-Authors: Krzysztof Kołowrocki, J. Soszyńska
    Abstract:

    Abstract: Basic notions of the system multi-state Reliability analysis are introduced. The multi-state series system with degrading components is defined and its exact Reliability Function is determined. The Limit Reliability Function for large multi-state systems is introduced. An auxiliary theorem on Limit Reliability Function of a large multi-state series system, which is necessary for its approximate Reliability evaluation, is presented. On the basis of this auxiliary theorem some corollaries are formulated and proved and then applied to approximate Reliability and availability determination of a large multi-state series system. Evaluations are given of a multi-state system Reliability Function, its mean lifetimes in the state subsets and their standard deviations, mean value and variance of the lifetime up to and the number of exceeding the system Reliability critical state and its availability coefficient. The cost analysis of a multi-state series system is performed as well. The results are applied to a large telecommunication network Reliability, availability and cost analysis.

J. Soszyńska - One of the best experts on this subject based on the ideXlab platform.

  • Reliability, Availability and Cost Analysis of Large Multi-State Systems with Ageing Components
    Journal of Konbin, 2008
    Co-Authors: Krzysztof Kołowrocki, J. Soszyńska
    Abstract:

    Abstract: Basic notions of the system multi-state Reliability analysis are introduced. The multi-state series system with degrading components is defined and its exact Reliability Function is determined. The Limit Reliability Function for large multi-state systems is introduced. An auxiliary theorem on Limit Reliability Function of a large multi-state series system, which is necessary for its approximate Reliability evaluation, is presented. On the basis of this auxiliary theorem some corollaries are formulated and proved and then applied to approximate Reliability and availability determination of a large multi-state series system. Evaluations are given of a multi-state system Reliability Function, its mean lifetimes in the state subsets and their standard deviations, mean value and variance of the lifetime up to and the number of exceeding the system Reliability critical state and its availability coefficient. The cost analysis of a multi-state series system is performed as well. The results are applied to a large telecommunication network Reliability, availability and cost analysis.

Adam Cichocki - One of the best experts on this subject based on the ideXlab platform.

  • Limit Reliability Functions of some homogeneous regular series-parallel and parallel-series systems of higher order
    Applied Mathematics and Computation, 2001
    Co-Authors: Adam Cichocki
    Abstract:

    In the Reliability investigation of large-scale systems, the problem of the complexity of their Reliability Functions arises. This problem may be approximately solved by the assuming that the number of system components tends to infinity and finding the Limit Reliability Function. It is well known that there exist only three possible nondegenerate Limit Reliability Functions for regular, homogeneous, series and parallel systems [1]. The same three-element classes of Limit Reliability Functions for series-parallel and parallel-series systems of order 1 has been fixed by Chernoff and Teicher [2]. These classes have been extended to ten-element classes of Limit Reliability Functions by Kolowrocki [3-6]. This paper presents the generalization of the results given in [6].

Boena Kwiatuszewska-sarnecka - One of the best experts on this subject based on the ideXlab platform.

  • A remark on of Limit Reliability Function of large series-parallel systems with assisting components
    Applied Mathematics and Computation, 2001
    Co-Authors: Boena Kwiatuszewska-sarnecka
    Abstract:

    In the Reliability investigation of large scale systems the problem of the complexity of their Reliability Functions arises. This problem may be approximately solved by assuming that the number of the system components tends to infinity and finding the Limit Reliability Function of the system. The results for series, parallel, series-parallel and parallel-series systems are given in R.E. Barlow, F. Proschan, Statistical Theory of Reliability and Life Testing, Probability Models, Holt Rinehart and Winston, New York, 1975; K. Kolowrocki, On a Class of Limit Reliability Functions for Series-Parallel and Parallel-Series Systems, Monograph, Gdynia Maritime Academy Press, 1993; K. Kolowrocki, Reliability Engineering and System Safety 39 (1993) 11-23. In the paper as a partial extension of these results, theorems which determinate necessary and sufficient conditions for a Reliability Function to be an asymptotic Reliability Function of the series-parallel system with assisting components are given. The problem is solved for the system which the number of its series components is of order of the number of its parallel components. Moreover, some examples are presented.